Solution Found!
As shown in Fig. P2.59, a gas contained within a piston
Chapter 2, Problem 2.59(choose chapter or problem)
As shown in Fig. P2.59, a gas contained within a piston– cylinder assembly, initially at a volume of \(0.1 \mathrm{~m}^{3}\), undergoes a constant-pressure expansion at 2 bar to a final volume of \(0.12 \mathrm{~m}^{3}\), while being slowly heated through the base. The change in internal energy of the gas is 0.25 kJ. The piston and cylinder walls are fabricated from heat-resistant material, and the piston moves smoothly in the cylinder. The local atmospheric pressure is 1 bar.
Questions & Answers
QUESTION:
As shown in Fig. P2.59, a gas contained within a piston– cylinder assembly, initially at a volume of \(0.1 \mathrm{~m}^{3}\), undergoes a constant-pressure expansion at 2 bar to a final volume of \(0.12 \mathrm{~m}^{3}\), while being slowly heated through the base. The change in internal energy of the gas is 0.25 kJ. The piston and cylinder walls are fabricated from heat-resistant material, and the piston moves smoothly in the cylinder. The local atmospheric pressure is 1 bar.
ANSWER:
Step 1 of 3
-Initial volume
-The relation of the process 
-The pressure
-The final volume
-Change in the internal energy
-Atmospheric pressure
We need to find out
(a) For the gas as a system, evaluate the work and the heat transferred in
(b) For the piston as a system, evaluate the work and change in potential energy in
We Assume that Process is an Quasi-equilibrium process and no energy loss